A De Vries-type Duality Theorem for Locally Compact Spaces -- I

TL;DR

This paper extends de Vries' duality theorem to a broader class of locally compact Hausdorff spaces, providing a new duality framework for these spaces.

Contribution

It introduces a generalized duality theorem for locally compact Hausdorff spaces, expanding the scope of de Vries' original duality.

Findings

Established a duality for locally compact Hausdorff spaces.

Generalized de Vries' duality theorem.

Provides a foundation for further topological dualities.

Abstract

A duality theorem for the category of locally compact Hausdorff spaces and continuous maps which generalizes the well-known Duality Theorem of de Vries is proved.